in what time will rs 5,000 , rs 6498 at 14% per annum compounded annually and find the interest
Answers
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Question :- in what time will Rs.5,000 amounts to Rs.6498 at 14% per annum compounded annually and find the interest ?
Solution :-
given,
→ Principal = Rs.5000
→ Amount = Rs.6498 .
→ Time = Let T years.
→ Rate = 14% per annum.
So,
→ Amount = Principal * [ 1 + (rate/100) ]^(time)
Putting all values we get,
→ 6498 = 5000[ 1 + (14/100)]^T
→ (6498/5000) = [ 1 + (14/100)]^T
→ (3249/2500) = [ 1 + (7/50) ]^T
→ (57/50)² = (57/50)^T
comparing we get,
→ T = 2 years.(Ans.)
and,
→ Interest received = Amount - Principal
→ interest = 6498 - 5000
→ interest = Rs.1498 (Ans.)
Hence, Required time period is 2 years and interest paid is Rs.1498 .
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